Research

My research interests are in the field of operator theory and function theory on Hilbert spaces of analytic functions.
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Papers:

  • Density of Polynomials in Sub-Bergman Hilbert Spaces, Journal of Mathematical Analysis and Applications, Vol. 467, No. 1 [2018] 699-703. https://arxiv.org/abs/1806.11383
  • Bounded Composition Operators and Multipliers of Some Reproducing
    Kernel Hilbert Spaces on the Bidisk, to appear in Complex Analysis and
    Operator Theory. https://arxiv.org/abs/1709.04010

Invited Talks:

  • Chongqing Mathematical Meeting and Summer Workshop, Invited lecture series, Chongqing University, China, May 2018.
  • Analysis Day at University of Michigan-Dearborn, Detroit, April 2018.
  • AMS Sectional Meeting in Nashville, Special Session on Function Spaces and Operator Theory, Vanderbilt University, April 2018.

Conference Talks:

  • Sub-Bergman Hilbert Spaces, 34th Southeastern Analysis Meeting, Georgia Institute of Technology, Atlanta, March 2018. Slides
  • Bounded Composition Operators on the Bidisk, 33rd Southeastern Analysis Meeting, University of Tennessee, Knoxville,  March 2017. Slides
  • A Spectral Area Estimate of Some Toeplitz Operators, AMS/MAA Joint Mathematical Meetings, Special Session on Operators, Function Spaces, and Models, Seattle, January 2016. Slides
  • A Spectral Area Estimate of Some Toeplitz Operators, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2015.
  • Asymptotic Bohr Radius for Polynomials, 31th Southeastern Analysis Meeting, University of Georgia, March 2015. Slides
  • Asymptotic Bohr Radius for Polynomials in One Complex Variable, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2014.
  • Compact Product of Hankel and Toeplitz Operators on the Hardy space, 30th Southeastern Analysis Meeting, Clemson University, March 2014. Slides

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